8x^2 - 56 + 48
Use the distributive property
8(x^2 - 7 + 6)
Find two factors of 6 that add to -7
The two factors are -1 and -6.
8(x -1)(x-6)
Have an awesome day! :)
Answer:
y = 2x + 4
Step-by-step explanation:
First, we need to find out the original equation. On this graph, we can see that the original y-intercept is -1. We can also figure out the slope by counting how many units up on the graph the higher point is from the lower point, in this case, 4, and how many units right it is, in this case, 2, so our slope is 4/2, which can be simplified to 2/1, or a slope of 2. Using the slope and y-intercept, we can create the equation for the original line. The equation will be y = 2x - 1. To get our final answer, we simply need to substitute 4 in the place of -1, and we get our final equation, y = 2x + 4.
Answer:
114,400 and 118,976.
Step-by-step explanation:
Let's represent this using a function. Let's let:
represent the total population, and 
represent the total number of years since last year.
We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:
Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.
Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)
The present population is 114,400 people.
For next year, set y equal to 2 (2 years after last year is next year)>
The population next year will be 118,976 people.
633,248.
The difference of each 3 is that they have different place values.
The 3 on the right side is int he 1000s (thousands) place, and the 3 on the left is in the 10,000s (ten thousands) place. :)
The one in the 10,000s place is 10 times larger than the one in the 1,000s place!
